# Thread: Inverse Laplace Formula

1. ## Inverse Laplace Formula

Dear MHF Residents,

I need the proof of the Laplace inversion formula
$f(t)=\displaystyle\frac{1}{2\pi\mathrm{i}}\display style\int_{\sigma-\mathrm{i}\infty}^{\sigma+\mathrm{i}\infty}F(z)\ma thrm{e}^{tz}\mathrm{d}z,$
where $\sigma$ is a sufficiently large real number, without using the Fourier transform.
Can you please help me in this direction?

bkarpuz

2. Do you have access to Ruel V. Churchill's Operational Mathematics, 2nd Ed.? If so, try pages 176-181. That may be what you're looking for. If you don't have access, let me know.

3. Thanks Ackbeet, it seems that the book is easy of access.

4. Great. Hope that answers your question.